Lifting cable danger. Cranes are used to lift steel beams at construction sites (Figure a). Let's look at the danger in such a lift for a beam with length L = 12.5 m, a square cross-section with edge length w=0.458 m, and density p= 7900 kg/m³. The main cable from the crane is attached to two short cables of length h = 7.00 m symmetrically attached to the beam at distance d from the midpoint (Figure b). (a) What is the tension Tmain in the main cable when the beam is lifted at constant speed? What is the tension Tshort in each short cable if d is (b) 1.60 m, (c) 4.24 m, and (d) 5.91 m? (e) As d increases, what happens to the danger of the short cables snapping?

Lifting cable danger. Cranes are used to lift steel beams at construction sites (Figure a). Let's look at the danger in such a lift for a beam with length L = 12.5 m, a square cross-section with edge length w=0.458 m, and density p= 7900 kg/m³. The main cable from the crane is attached to two short cables of length h = 7.00 m symmetrically attached to the beam at distance d from the midpoint (Figure b). (a) What is the tension Tmain in the main cable when the beam is lifted at constant speed? What is the tension Tshort in each short cable if d is (b) 1.60 m, (c) 4.24 m, and (d) 5.91 m? (e) As d increases, what happens to the danger of the short cables snapping?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

Lifting cable danger. Cranes are used to lift steel beams at construction sites (Figure a). Let's look at the danger in such a lift for a beam
with length L = 12.5 m, a square cross-section with edge length w = 0.458 m, and density p = 7900 kg/m3. The main cable from the
crane is attached to two short cables of length h = 7.00 m symmetrically attached to the beam at distance d from the midpoint (Figure
b). (a) What is the tension Tmain in the main cable when the beam is lifted at constant speed? What is the tension Tshort in each short
cable if d is (b) 1.60 m, (c) 4.24 m, and (d) 5.91 m? (e) As d increases, what happens to the danger of the short cables snapping?
(a) Number i
(b) Number i
(c) Number
(d) Number i
(a)
Units
Units
Units
Units
h
Main cable
h
Beam
- Ľ———
(b)

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